GRADE 8 MATHEMATICS STANDARDS

CMP Unit	STANDARD	TRIMESTER 1	TRIMESTER 2	TRIMESTER 3
	Solves problems in both mathematical and everyday contexts
	Communicates mathematical thinking clearly and concisely
SIWS	Solves equations and analyzes expressions including those involving grouping symbols		xx	xx
TWMM	Represents linear relationships using equations, graphs, tables, and scenarios		xx	xx
TWMM	Recognizes and writes expressions for linear and non-linear patterns	xx		xx
LFP	Understands and applies the Pythagorean Theorem	xx		xx
GGG	Recognizes and writes expressions for exponential patterns	xx	xx
GGG	Applies rules for working with exponents	xx	xx
KHM	Demonstrates an understanding of transformations, congruence, and symmetry	xx	xx
S & P	Creates, interprets, and utilizes various tabular and graphical representations of data	xx	xx

UNIT OVERVIEW

Say It With Symbols

Learning Goals

• Represent patterns and relationships in symbolic forms

• Write algebraic expressions in useful equivalent forms

• Combine symbolic expressions using algebraic operations

• Analyze expressions or equations to determine the patterns of change in the tables and graphs that the equation represents

• Solve linear equations using symbolic reasoning

• Use algebraic reasoning to validate generalizations and conjectures

Procedural Guides:

Extension Activities:

Moving Straight Ahead

Learning Goals

• Recognize situations in which two or more variables have a linear relationship to each other

• Create tables, graphs, and symbolic equations that express linear relationships

• Translate information about linear relations given in a table, graph, or an equation to one of the other forms

• Understand the connections between linear equations and the patterns in the tables and graphs of those equations

• Solve linear equations

• Solve problems and make decisions about linear relationships using information given in tables, graphs, and symbolic expressions

Procedural Guides:

Extension Activities:

Thinking With Mathematical Models

Learning Goals

• Recognize linear and non-linear patterns in tables and graphs

• Describe data patterns using words and symbols

• Write equations to express patterns appearing in tables, graphs, and problems

• Solve linear equations

• Model situations with inequalities

• Write equations to describe inverse variations

• Use linear and inverse variation equations to solve problems and to make predictions and decisions

Procedural Guides:

Extension Activities:



Looking for Pythagoras

Learning Goals

• Relate the area of a square to its side length

• Develop strategies for finding the distance between two points on a coordinate grid

• Understand and apply the Pythagorean Theorem

• Estimate the values of square roots of whole numbers

• Locate irrational numbers on a number line

• Use the Pythagorean Theorem to solve everyday problems

Procedural Guides

Pythagorean Theorem.doc

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Extension Activities:

Growing, Growing, Growing

Learning Goals

• Identify a situation in which a quantity grows or decays exponentially

• Recognize the connections between exponential equations and the growth patterns in tables and graphs of those equations

• Construct equations to express exponential patterns in data tables, graphs, and problem situations

• Solve problems about exponential growth and decay from a variety of different areas, including science and business

• Compare exponential and linear relationships

• Understand the rules for working with exponents

Procedural Guides

Procedural Guide – Exponential Growth.doc

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Extension Activities:

Kaleidoscopes, Hubcaps, and Mirrors

Learning Goals

• Identify figures with different types of symmetry

• Describe types of symmetry in terms of the images made by applying reflections, rotations, and translations to points of the original figure

• Use transformations to construct figures with different types of symmetry

• Use transformations to compare the size and shape of figures to see if they are congruent

• Identify congruent triangles and quadrilaterals efficiently

• Use properties of congruent triangles to solve problems about shapes and measurements

Procedural Guides:

Extension Activities:

Samples & Populations

Learning Goals

• Use the process of statistical investigation to explore problems

• compare sample distributions using displays that group data

Procedural Guides:

Extension Activities: